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MESOSCOPIC SIMULATION OF CONVECTIVE HEAT TRANSFER FROM A PERMEABLE TRIANGULAR BODY TO A FLOWING FLUID

T. R. Vijaybabu
Discipline of Mechanical Engineering, Indian Institute of Technology Indore

Shanmugam Dhinakaran
The Centre for Fluid Dynamics, Department of Mechanical Engineering, Indian Institute of Technology Indore, India

DOI: 10.1615/IHMTC-2017.3100
pages 2217-2223

Abstract

A numerical investigation of flow and heat transfer characteristics from a porous triangular-shaped body, exposed to a uniform stream of air (Pr = 0.71) has been performed to showcase the influence of non-dimensional permeability (Da). The main objective of the present work is to analyse the effects of Darcy number on streamline pattern, wake length, drag coefficient, isotherms, surface heat transfer enhancement and mean Nusselt number. Two-distribution lattice Boltzmann method (LBM) is employed to perform numerical simulations. In order to receive porous medium characteristics, Darcy-Forchheimer term which mimics the viscous and inertial forces of the porous medium is included with collision operator of LB equation. Reynolds number (Re) and Darcy number (Da) considered in this study vary from 1 to 40 and 10-6 to 10-2, respectively. A monotonous reduction of wake length (Lr), drag coefficient (CD) with the increment in Da is reported. It is also seen that a rich permeable triangular, cylinder depletes thermal boundary layer substantially. Further, mean Nusselt number increment is found to be more prominent at Da = 10-2. For instance, the percentage heat transfer enhancement at Re = 30 is found to be 2.34%, 9.44% and 41.2% for Da = 10-4; 10-3 and 10-2, respectively. Additionally, a correlation between the mean Nusselt number, Da and Re is formulated for the range of parameters considered in this study. Present analysis can be helpful while designing a body (such as pin-fin arrangement, LED backlight module) for the purpose of maximum heat transfer by porous media modeling.

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